English

Clifford algebras and the classical dynamical Yang-Baxter equation

Representation Theory 2011-11-10 v1 Symplectic Geometry

Abstract

We describe a relationship of the classical dynamical Yang-Baxter equation with the following elementary problem for Clifford algebras: Given a vector space VV with quadratic form QVQ_V, how is the exponential of an element in 2(V)\wedge^2(V) under exterior algebra multiplication related to its exponential under Clifford multiplication?

Keywords

Cite

@article{arxiv.math/0209347,
  title  = {Clifford algebras and the classical dynamical Yang-Baxter equation},
  author = {A. Alekseev and E. Meinrenken},
  journal= {arXiv preprint arXiv:math/0209347},
  year   = {2011}
}
R2 v1 2026-07-22T16:47:55.896Z